Atkin-Lehner |
2- 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176n |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-49168785604608 = -1 · 235 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -1 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9055,-64959] |
[a1,a2,a3,a4,a6] |
j |
313185171671/187564032 |
j-invariant |
L |
0.73995949884716 |
L(r)(E,1)/r! |
Ω |
0.36997974942358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10176h1 2544g1 30528by1 |
Quadratic twists by: -4 8 -3 |